this question is secondary level
Q:(involes with related rates)
please help i'm not even sure how to set up the picture for this problem?Hi Melissa,
I drew the diagram below. L is the lighthouse, P is the closest point on the shoreline and S is the spot where the light hits the shoreline. L and P are fixed but S moves as the light rotates.
I labeled the angle PLS as theta and the changing length |SP| as x.
Since the light makes 4 revolutions per minute theta changes 4(2 pi) = 8 pi radians every minute. Hence radians per minute.
From the diagram the tangent of theta is x/3. Can you complete the problem now?Penny